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Chess Club: Rating Dashboard Geometry

Transform chess tournament dashboard graphics using coordinates, including diagonal reflections, turns, and dilations with different centers.

Grade 8MathInteractive · Printable

Aligned to8.G.A.3

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer, Drawing

About this worksheet

What students practice

Students describe translations, reflections, and rotations using coordinates and coordinate rules.
Students find image coordinates and centers for dilations of two-dimensional figures.
Students use inverse transformations and transformation sequences to position graphics.

How to use

Use after introducing coordinate transformations. Provide scratch paper for coordinate calculations, then discuss the rotation error in Question 10.

Curriculum

Common Core standard covered

8.G.A.3

Use coordinates to describe how dilations, translations, rotations, and reflections change 2-D figures.

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Chess Club: Rating Dashboard Geometry

Use coordinate transformations to arrange tournament graphics.

Place and Reflect Graphics

The chess club is designing a tournament dashboard with rating cards and pairing graphics. Coordinates measure layout units, not player ratings. Apply each transformation to the entire figure.

The triangle marks a rating-card tab. A translation places A at A′(1, −1). Find the other two image vertices.

B′ = ( , ); C′ = ( , )

When the pairing panel opens, each rating card moves by the rule (x, y) → (x − 3, y + 5). A card's upper-right corner must finish at (2, 4). Where must that corner start?